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We report a study of the phase behavior of multiple-occupancy crystals through simulation. We argue that in order to reproduce the equilibrium behavior of such crystals it is essential to treat the number of lattice sites as a constraining…

Soft Condensed Matter · Physics 2009-11-13 Bianca M. Mladek , Patrick Charbonneau , Daan Frenkel

A simple assumption of an emergence in gas of small atomic clusters consisting of $c$ particles each, leads to a phase separation (first order transition). It reveals itself by an emergence of ``forbidden'' density range starting at a…

Statistical Mechanics · Physics 2015-05-19 Savely Rabinovich

Colloidal particles, amphiphiles, and functionalized nanoparticles are examples of systems that frequently exhibit short-range attractions coupled with long-range repulsions. In this work, we observe striking differences in the dynamics of…

Soft Condensed Matter · Physics 2017-06-01 Jakub Pȩkalski , Andrew P. Santos , Athanassios Z. Panagiotopoulos

In this paper, we study the formation of clusters for stochastic interacting particle systems (SIPS) that interact through short-range attractive potentials in a periodic domain. We consider kinetic (underdamped) Langevin dynamics and focus…

Numerical Analysis · Mathematics 2025-10-30 Benedict Leimkuhler , René Lohmann , Grigorios A. Pavliotis , Peter A. Whalley

The emergence of clustering and coarsening in crowded ensembles of self-propelled agents is studied using a lattice model in one-dimension. The persistent exclusion process, where particles move at directions that change randomly at a low…

Statistical Mechanics · Physics 2016-08-24 Nestor Sepulveda , Rodrigo Soto

Based on statistical approach we described possible formation of spatially inhomogeneous distribution in the system of interacting Fermi particles by long-rage forces, and we demonstrated nonperturbative calculation of the partition…

Statistical Mechanics · Physics 2009-11-13 K. V. Grigorishin , B. I. Lev

Motivated by aggregation phenomena in gliding bacteria, we study collective motion in a twodimensional model of active, self-propelled rods interacting through volume exclusion. In simulations with individual particles, we find that…

Soft Condensed Matter · Physics 2009-11-11 F. Peruani , A. Deutsch , M. Baer

In the cluster expansion framework of Bose liquids we calculate analytical expressions of the two-body, three-body and four-body diagrams contributing to the g.s. energy of an infinite system of neutral alpha-particles at zero-temperature,…

Nuclear Theory · Physics 2015-03-17 F. Carstoiu , S Misicu , V. Balanica , M. Lassaut

The behavior of identical particles interacting through the harmonic-repulsive pair potential has been studied in 3D using molecular dynamics simulations at a number of different densities. We found that at many densities, as the…

Soft Condensed Matter · Physics 2017-10-11 V. A. Levashov

Self-assembly of granular particles is of great interest in both applied and basic research. It is commonly observed that when randomly packed into a container, granular particles form disordered structures like glass. As the particles are…

Soft Condensed Matter · Physics 2025-01-20 Reza Amirifar , Kejun Dong , Aibing Yu

A common approach to study nucleation rates is the estimation of free-energy barriers. This usually requires knowledge about the shape of the forming droplet, a task that becomes notoriously difficult in macromolecular setups starting with…

Statistical Mechanics · Physics 2017-03-28 Johannes Zierenberg , Philipp Schierz , Wolfhard Janke

We investigate the formation of polycrystalline structures in a class of particle systems. The atomistic energy is modeled as a sum of particle energies that favor atoms being locally isometric to a reference lattice. The discrete frame…

Mesoscale and Nanoscale Physics · Physics 2026-04-22 Leonard Kreutz , Timo Ziereis

We evaluate the grand potential of a cluster of two molecular species, equivalent to its free energy of formation from a binary vapour phase, using a nonequilibrium molecular dynamics technique where guide particles, each tethered to a…

Statistical Mechanics · Physics 2016-07-12 Jamie Y. Parkinson , Gabriel V. Lau , Ian J. Ford

We examine the structure and dynamics of small isolated $N$-particle clusters interacting via short-ranged Morse potentials. "Ideally preprared ensembles" obtained via exact enumeration studies of sticky hard sphere packings serve as…

Soft Condensed Matter · Physics 2015-06-22 Robert S. Hoy

An extended polymer collapses to form a globule when subjected to a quench below the collapse transition temperature. The process begins with the formation of clusters of monomers or ``pearls''. The nascent clusters merge, resulting in…

Soft Condensed Matter · Physics 2026-03-12 Suman Majumder , Saikat Chakraborty

We investigate the quantum phases of hard-core bosonic atoms in an extended Hubbard model where particles interact via soft-shoulder potentials in one dimension. Using a combination of field-theoretical methods and strong-coupling…

Quantum Gases · Physics 2015-07-08 M. Dalmonte , W. Lechner , Zi Cai , M. Mattioli , A. M. Läuchli , G. Pupillo

We consider a binary system of small and large objects in the continuous space interacting via a non-negative potential. By integrating over the small objects, the effective interaction between the large ones becomes multi-body. We prove…

Mathematical Physics · Physics 2020-02-19 Sabine Jansen , Dimitrios Tsagkarogiannis

We study the phases and dynamics of a gas of monodisperse particles interacting via soft-core potentials in two spatial dimensions, which is of interest for soft-matter colloidal systems and quantum atomic gases. Using exact theoretical…

Soft Condensed Matter · Physics 2015-11-11 Rogelio Diaz-Mendez , Fabio Mezzacapo , Fabio Cinti , Wolfgang Lechner , Guido Pupillo

We study the conditions under which and how an imposed cluster of fixed colloidal particles at prescribed positions triggers crystal nucleation from a metastable colloidal fluid. Dynamical density functional theory of freezing and Brownian…

Soft Condensed Matter · Physics 2009-11-13 Sven van Teeffelen , Christos N. Likos , Hartmut Löwen

We investigate a simple model for globular cluster (GC) formation. We simulate the violent relaxation of initially homogeneous isothermal stellar spheres and show that it leads to the formation of clusters with radial density profiles that…

Astrophysics · Physics 2009-11-10 Sergey Mashchenko , Alison Sills